Answer :
Answer:
x² - 4y²
Step-by-step explanation:
Step 1
On expansion,
(x + 2y)(x - 2y) = x(x - 2y) + 2y( x - 2y)
= x(x) - x(2y) + 2y(x) + 2y(-2y)
= x² - 2xy + 2xy - 4y²
= x²- 4y²
Each of the terms are perfect squares
x² = x X x
4y² = (2y)² = 2y X 2y
Hence, x² - 4y² is the difference of two squares.
Simplification of (x+2y)(x-2y) gives x²-4y² which is the difference of two squares